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Submission #486574

# Submission time Handle Problem Language Result Execution time Memory
486574 2021-11-12T04:24:47 Z aryan12 Swapping Cities (APIO20_swap) C++17
43 / 100
 2000 ms 48248 KB 
#include "swap.h"
#include <bits/stdc++.h>
using namespace std;

const int MAXN = 1e5 + 5;
vector<array<int, 3> > edges(MAXN * 2);
int DP[20][MAXN * 3];

struct ufds {
    bool isLine;
    pair<int, int> endpoints;
    int parent, value, depth;

    ufds(int x) {
        isLine = true;
        endpoints = {x, x};
        parent = x;
        value = 1e9;
        depth = 0;
    } 
} *Node[MAXN * 3];

int Find(int x) {
    if(Node[x]->parent == x) {
        return x;
    }
    return Node[x]->parent = Find(Node[x]->parent);
}

void Unite(int a, int b, int new_idx, int cur_val) {
    int original_a = a, original_b = b;
    a = Find(a);
    b = Find(b);
    Node[a]->parent = new_idx;
    Node[b]->parent = new_idx;
    Node[new_idx]->value = cur_val;
    DP[0][a] = new_idx;
    DP[0][b] = new_idx;
    if(a == b || !Node[a]->isLine || !Node[b]->isLine) {
        Node[new_idx]->isLine = false;
        Node[new_idx]->endpoints = {-1, -1};
    }
    else {
        //cout << "a = " << a << ", b = " << b << "\n";
        //cout << "A Line = " << Node[a]->endpoints.first << ", " << Node[a]->endpoints.second << "\n";
        //cout << "B Line = " << Node[b]->endpoints.first << ", " << Node[b]->endpoints.second << "\n";
        if(Node[a]->endpoints.first != original_a) {
            swap(Node[a]->endpoints.first, Node[a]->endpoints.second);
        }
        if(Node[b]->endpoints.first != original_b) {
            swap(Node[b]->endpoints.first, Node[b]->endpoints.second);
        }
        if(original_a == Node[a]->endpoints.first && original_b == Node[b]->endpoints.first) {
            Node[new_idx]->isLine = true;
            Node[new_idx]->endpoints = {Node[a]->endpoints.second, Node[b]->endpoints.second};
        }
        else {
            Node[new_idx]->isLine = false;
            Node[new_idx]->endpoints = {-1, -1};
        }
    }
}

bool cmp(array<int, 3> a, array<int, 3> b) {
    return a[2] < b[2];
}

void init(int N, int M, vector<int> U, vector<int> V, vector<int> W) {
    auto begin = std::chrono::high_resolution_clock::now();
    for(int i = 0; i < 20; i++) {
        for(int j = 0; j < MAXN * 3; j++) {
            DP[i][j] = -1;
        }
    }
    for(int i = 0; i < M; i++) {
        edges[i] = {U[i], V[i], W[i]};
    }
    sort(edges.begin(), edges.begin() + M, cmp);
    int cur_new = N;
    for(int i = 0; i < MAXN * 3; i++) {
        Node[i] = new ufds(i);
    }
    for(int i = 0; i < M; i++) {
        //cout << Find(edges[i][0]) << " " << Find(edges[i][1]) << "\n"; 
        int x = Find(edges[i][0]), y = Find(edges[i][1]);
        //cout << "x = " << x << ", Node[x] is a line? " << Node[x]->isLine << "\n";
        if(x != y || Node[x]->isLine == true) {
            //cout << "Uniting edge: (" << edges[i][0] << ", " << edges[i][1] << ", " << edges[i][2] << ")\n";
            Unite(edges[i][0], edges[i][1], cur_new++, edges[i][2]);
        }
    }
    auto end = std::chrono::high_resolution_clock::now();
    auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
    if(elapsed.count() * 1e-9 > 2.0) {
        assert(false);
    }
    assert(cur_new <= MAXN * 3);
    for(int i = 1; i < 20; i++) {
        for(int j = 0; j < cur_new; j++) {
            if(DP[i - 1][j] != -1) {
                DP[i][j] = DP[i - 1][DP[i - 1][j]];
            }
            else {
                DP[i][j] = -1;
            }
        }
    }
}

bool Check(int val, int X, int Y) {
    for(int i = 19; i >= 0; i--) {
        if(DP[i][X] != -1 && Node[DP[i][X]]->value <= val) {
            X = DP[i][X];
        }
        if(DP[i][Y] != -1 && Node[DP[i][Y]]->value <= val) {
            Y = DP[i][Y];
        }
    }
    return (X == Y && Node[X]->isLine == false);
}

int getMinimumFuelCapacity(int X, int Y) {
    int ans = 1e9 + 2;
    int l = 0, r = 1e9;
    while(l <= r) {
        int mid = (l + r) / 2;
        if(Check(mid, X, Y)) {
            r = mid - 1;
            ans = mid;
        }
        else {
            l = mid + 1;
        }
    }
    if(ans == 1e9 + 2) {
        ans = -1;
    }
    return ans;
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 37836 KB Output is correct
2 Correct 21 ms 37820 KB Output is correct
3 Correct 20 ms 37860 KB Output is correct
4 Correct 22 ms 37836 KB Output is correct
5 Correct 21 ms 37908 KB Output is correct
6 Correct 22 ms 37836 KB Output is correct
7 Correct 21 ms 37836 KB Output is correct
8 Correct 21 ms 37840 KB Output is correct
9 Correct 64 ms 41324 KB Output is correct
10 Correct 87 ms 42028 KB Output is correct
11 Correct 75 ms 42180 KB Output is correct
12 Correct 81 ms 42396 KB Output is correct
13 Correct 70 ms 42812 KB Output is correct
14 Correct 118 ms 41704 KB Output is correct
15 Correct 689 ms 46188 KB Output is correct
16 Correct 691 ms 46092 KB Output is correct
17 Correct 676 ms 46344 KB Output is correct
18 Correct 1218 ms 46824 KB Output is correct
19 Correct 387 ms 43632 KB Output is correct
20 Correct 659 ms 47148 KB Output is correct
21 Correct 693 ms 47564 KB Output is correct
22 Correct 711 ms 47732 KB Output is correct
23 Correct 1220 ms 48248 KB Output is correct

Subtask #2
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 37836 KB Output is correct
2 Correct 21 ms 37820 KB Output is correct
3 Execution timed out 2081 ms 45488 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 37836 KB Output is correct
2 Correct 21 ms 37820 KB Output is correct
3 Correct 20 ms 37860 KB Output is correct
4 Correct 22 ms 37836 KB Output is correct
5 Correct 21 ms 37908 KB Output is correct
6 Correct 22 ms 37836 KB Output is correct
7 Correct 21 ms 37836 KB Output is correct
8 Correct 21 ms 37840 KB Output is correct
9 Correct 19 ms 37800 KB Output is correct
10 Correct 20 ms 37872 KB Output is correct
11 Correct 20 ms 37864 KB Output is correct
12 Correct 19 ms 37828 KB Output is correct
13 Correct 21 ms 37880 KB Output is correct
14 Correct 20 ms 37796 KB Output is correct
15 Correct 19 ms 37836 KB Output is correct
16 Correct 19 ms 37892 KB Output is correct
17 Correct 19 ms 37792 KB Output is correct
18 Correct 20 ms 37888 KB Output is correct
19 Correct 20 ms 37928 KB Output is correct
20 Correct 18 ms 37816 KB Output is correct
21 Correct 21 ms 37804 KB Output is correct
22 Correct 20 ms 37836 KB Output is correct
23 Correct 19 ms 37836 KB Output is correct
24 Correct 20 ms 37868 KB Output is correct
25 Correct 20 ms 37824 KB Output is correct
26 Correct 20 ms 37812 KB Output is correct
27 Correct 20 ms 37872 KB Output is correct
28 Correct 20 ms 37844 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 37800 KB Output is correct
2 Correct 20 ms 37836 KB Output is correct
3 Correct 21 ms 37820 KB Output is correct
4 Correct 20 ms 37860 KB Output is correct
5 Correct 22 ms 37836 KB Output is correct
6 Correct 21 ms 37908 KB Output is correct
7 Correct 22 ms 37836 KB Output is correct
8 Correct 21 ms 37836 KB Output is correct
9 Correct 21 ms 37840 KB Output is correct
10 Correct 64 ms 41324 KB Output is correct
11 Correct 87 ms 42028 KB Output is correct
12 Correct 75 ms 42180 KB Output is correct
13 Correct 81 ms 42396 KB Output is correct
14 Correct 70 ms 42812 KB Output is correct
15 Correct 20 ms 37872 KB Output is correct
16 Correct 20 ms 37864 KB Output is correct
17 Correct 19 ms 37828 KB Output is correct
18 Correct 21 ms 37880 KB Output is correct
19 Correct 20 ms 37796 KB Output is correct
20 Correct 19 ms 37836 KB Output is correct
21 Correct 19 ms 37892 KB Output is correct
22 Correct 19 ms 37792 KB Output is correct
23 Correct 20 ms 37888 KB Output is correct
24 Correct 20 ms 37928 KB Output is correct
25 Correct 18 ms 37816 KB Output is correct
26 Correct 21 ms 37804 KB Output is correct
27 Correct 20 ms 37836 KB Output is correct
28 Correct 19 ms 37836 KB Output is correct
29 Correct 20 ms 37868 KB Output is correct
30 Correct 20 ms 37824 KB Output is correct
31 Correct 20 ms 37812 KB Output is correct
32 Correct 20 ms 37872 KB Output is correct
33 Correct 20 ms 37844 KB Output is correct
34 Correct 25 ms 38348 KB Output is correct
35 Correct 76 ms 41952 KB Output is correct
36 Correct 75 ms 41952 KB Output is correct
37 Correct 76 ms 41956 KB Output is correct
38 Correct 74 ms 41924 KB Output is correct
39 Correct 73 ms 41932 KB Output is correct
40 Correct 69 ms 41584 KB Output is correct
41 Correct 80 ms 42216 KB Output is correct
42 Correct 74 ms 41924 KB Output is correct
43 Correct 72 ms 41952 KB Output is correct
44 Correct 82 ms 42212 KB Output is correct
45 Correct 104 ms 44368 KB Output is correct
46 Correct 71 ms 41964 KB Output is correct
47 Correct 75 ms 41924 KB Output is correct
48 Correct 84 ms 42476 KB Output is correct
49 Correct 78 ms 44308 KB Output is correct
50 Correct 65 ms 42984 KB Output is correct
51 Correct 92 ms 43492 KB Output is correct
52 Correct 113 ms 44972 KB Output is correct
53 Correct 137 ms 45816 KB Output is correct
54 Correct 129 ms 46464 KB Output is correct
55 Correct 66 ms 41964 KB Output is correct
56 Correct 129 ms 45492 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 37836 KB Output is correct
2 Correct 21 ms 37820 KB Output is correct
3 Correct 20 ms 37860 KB Output is correct
4 Correct 22 ms 37836 KB Output is correct
5 Correct 21 ms 37908 KB Output is correct
6 Correct 22 ms 37836 KB Output is correct
7 Correct 21 ms 37836 KB Output is correct
8 Correct 21 ms 37840 KB Output is correct
9 Correct 64 ms 41324 KB Output is correct
10 Correct 87 ms 42028 KB Output is correct
11 Correct 75 ms 42180 KB Output is correct
12 Correct 81 ms 42396 KB Output is correct
13 Correct 70 ms 42812 KB Output is correct
14 Correct 118 ms 41704 KB Output is correct
15 Correct 689 ms 46188 KB Output is correct
16 Correct 691 ms 46092 KB Output is correct
17 Correct 676 ms 46344 KB Output is correct
18 Correct 1218 ms 46824 KB Output is correct
19 Execution timed out 2081 ms 45488 KB Time limit exceeded
20 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 37800 KB Output is correct
2 Correct 20 ms 37836 KB Output is correct
3 Correct 21 ms 37820 KB Output is correct
4 Correct 20 ms 37860 KB Output is correct
5 Correct 22 ms 37836 KB Output is correct
6 Correct 21 ms 37908 KB Output is correct
7 Correct 22 ms 37836 KB Output is correct
8 Correct 21 ms 37836 KB Output is correct
9 Correct 21 ms 37840 KB Output is correct
10 Correct 64 ms 41324 KB Output is correct
11 Correct 87 ms 42028 KB Output is correct
12 Correct 75 ms 42180 KB Output is correct
13 Correct 81 ms 42396 KB Output is correct
14 Correct 70 ms 42812 KB Output is correct
15 Correct 118 ms 41704 KB Output is correct
16 Correct 689 ms 46188 KB Output is correct
17 Correct 691 ms 46092 KB Output is correct
18 Correct 676 ms 46344 KB Output is correct
19 Correct 1218 ms 46824 KB Output is correct
20 Execution timed out 2081 ms 45488 KB Time limit exceeded
21 Halted 0 ms 0 KB -